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" IF from a point without a circle there be drawn two straight lines, one of which cuts the circle, and the other meets it ; if the rectangle contained by the whole line which cuts the circle, and the part of it without the circle be equal to the square... "
Euclid's plane geometry, books iii.-vi., practically applied; or, Gradations ... - Σελίδα 85
των Euclides - 1861
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...lines be drawn, one of which not passing through the centre cuts the circle and the other touches it, the rectangle contained by the whole line which cuts the circle and the part of it without the circle shall be equal to the square on the line which touches it. If any number of circles intersect two and...

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...of which cuts the circle but does not pass through the centre, and the other touches it ; prove that the rectangle contained by the whole line which cuts...the circle, and the part of it without the circle is equal to the square on the line which to aches it. (a) BA, AC are chords, in the same straight line,...

Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 446 σελίδες
...XXXVIL THEOREM. If from a point without a circle there be drawn two straight Una, me of vkicIi cuti the circle, and the other meets it ; if the rectangle contained by the whole line which cuti the circle, and the part of it without the circle, be equal tu the square on the line which meets...

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Edward Atkins - 1876 - 130 σελίδες
...without a circle two straight lines ba drawn, one of which cuts the circle, and the other touches it; the rectangle contained by the whole line which cuts the circle, and l!ta part of it without the circle, shall ba equal to the square on ths line which touches it. Let...

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...vertex to the middle point of the base. 4. If from a point without a circle there be drawn two straight lines, one of which cuts the circle and the other...without the circle, be equal to the square of the line which meets it, the line which meets shall touch the circle. Draw a circle through two given points...

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...circle, there be drawn two straight lines, one of which ants the circle, and, the other meets it ; \f the rectangle contained by the whole line which cuts...part of it without the circle, be equal to the square on the line which meets it, the line which meets must touch the circle. Let A be a pt. without the...

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...without a circle two straight lines be drawn, one of which cuts the circle, and the other touches it ; the rectangle contained by the whole line which cuts...the circle, and the part of it without the circle, shall be equal to the square on the line which touches it. 8. The greater side of every triangle has...

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...circle two straight lines be drawn one of which cuts the circle, and the other touches it ; prove that the rectangle contained by the whole line which cuts...the circle, and the part of it without the circle, is equal to the square on the line which touches it. (a) AB is a fixed straight line of given length,...

Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879 - 94 σελίδες
...respectively equal to two given angles. 2. If from any point without a circle 'there be drawn two straight lines, one of which cuts the circle and the other meets it, and if the rectangle contained by the whole line which cuts the circle, and the part of it without...




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